X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/rce2015.git/blobdiff_plain/ac4df02370b008c7b6b76f2127b30eb5e745f842..ca1429f05161a13a6c9cc1eb4a62dcb8217c06d2:/paper.tex?ds=sidebyside diff --git a/paper.tex b/paper.tex index 1fdc62b..ab8f9ab 100644 --- a/paper.tex +++ b/paper.tex @@ -549,9 +549,8 @@ Grid architecture & 2$\times$16, 4$\times$8, 4$\times$16 a \end{center} \end{table} -\subsubsection{Simulations for various grid architectures and scaling-up matrix sizes} -\ \\ -% environment +\subsubsection{Simulations for various grid architectures and scaling-up matrix sizes\\} + In this section, we analyze the simulations conducted on various grid configurations and for different sizes of the 3D Poisson problem. The parameters of the network between clusters is fixed to $N2$ (see @@ -573,7 +572,7 @@ The execution times between both algorithms is significant with different grid a \label{fig:01} \end{figure} -\subsubsection{Simulations for two different inter-clusters network speeds \\} +\subsubsection{Simulations for two different inter-clusters network speeds\\} In this section, the experiments compare the behavior of the algorithms running on a speeder inter-cluster network (N2) and also on a less performant network (N1) respectively defined in the test conditions Table~\ref{tab:02}. @@ -610,8 +609,8 @@ the network speed drops down (variation of 12.5\%), the difference between t -\subsubsection{Network latency impacts on performance} -\ \\ +\subsubsection{Network latency impacts on performance\\} + \begin{table} [ht!] \centering \begin{tabular}{r c } @@ -639,11 +638,11 @@ network latency from $8.10^{-6}$ to $6.10^{-5}$ implies an absolute time increase of more than $75\%$ (resp. $82\%$) of the execution for the classical GMRES (resp. Krylov multisplitting) algorithm. The execution time factor between the two algorithms varies from 2.2 to 1.5 times with a network latency -decreasing from $8.10^{-6}$ to $6.10^{-5}$. +decreasing from $8.10^{-6}$ to $6.10^{-5}$ second. -\subsubsection{Network bandwidth impacts on performance} -\ \\ +\subsubsection{Network bandwidth impacts on performance\\} + \begin{table} [ht!] \centering \begin{tabular}{r c } @@ -675,8 +674,8 @@ Figure~\ref{fig:04}). However, in this case, the Krylov multisplitting method presents a better performance in the considered bandwidth interval with a gain of $40\%$ which is only around $24\%$ for the classical GMRES. -\subsubsection{Input matrix size impacts on performance} -\ \\ +\subsubsection{Input matrix size impacts on performance\\} + \begin{table} [ht!] \centering \begin{tabular}{r c } @@ -712,7 +711,8 @@ targeted environment for the application deployment when focusing on the problem size scale up. It should be noticed that the same test has been done with the grid 4 $\times$ 8 leading to the same conclusion. -\subsubsection{CPU Power impacts on performance} +\subsubsection{CPU Power impacts on performance\\} + \begin{table} [htbp] \centering